Given numbers are 312,412,636,351,393

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 312,412,636,351,393 is 2008082232.

Find LCM of 312,412,636,351,393 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 13 x 2 x 103 x 53 x 9 x 131 = 2008082232

Therefore, the lowest common multiple of 312,412,636,351,393 is 2008082232.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

312 x 412 x 636 x 351 x 393 = 11277389814912

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

412 : 1, 2, 4, 103, 206, 412

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

351 : 1, 3, 9, 13, 27, 39, 117, 351

393 : 1, 3, 131, 393

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,412,636,351,393, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

412:2x 2x 103

636:2x 2x 3x 53

351:3x 3x 3x 13

393:3x 131

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 3x 3x 3x 13 = 5616

Therefore, the value for common factors is 5616.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 11277389814912/(1x5616)

LCM = 11277389814912/5616

LCM = 2008082232

Thus, we can understand that the LCM of 312,412,636,351,393 is 2008082232.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 411, 702, 609, 546, 217
• LCM of 699, 812, 884, 881, 373
• LCM of 139, 798, 272, 719, 378
• LCM of 620, 183, 961, 454, 718
• LCM of 113, 365, 538, 679, 817

1. What is the LCM of 312, 412, 636, 351, 393?

Answer: LCM of 312, 412, 636, 351, 393 is 2008082232.

2. How to calculate the LCM of 312, 412, 636, 351, 393?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 312, 412, 636, 351, 393.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.